Lines and revolutions

Rotate function graphs to create three-dimensional surfaces.

Hyperboloid of one sheet

Rotate a line in space to create a hyperboloid of one sheet.

Hyperbolic paraboloid

Move the ends of a line segment along two non-complanar line segments to create a hyperbolic paraboloid.

Conoid

Move the ends of a line segment along a circle and a line to create a conoid.

Sinusoidal conoid

Move the ends of a line segment along a sinusoid and a line to create a sinusoidal conoid.